• Title/Summary/Keyword: Expected Cost

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A System Analysis of a Controllable Queueing Model Operating under the {T:Min(T,N)} Policy (조정가능한 대기모형에 {T:Min(T,N)} 운용방침이 적용되었을 때의 시스템분석)

  • Rhee, Hahn-Kyou
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.38 no.1
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    • pp.21-29
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    • 2015
  • A steady-state controllable M/G/1 queueing model operating under the {T:Min(T,N)} policy is considered where the {T:Min(T,N)} policy is defined as the next busy period will be initiated either after T time units elapsed from the end of the previous busy period if at least one customer arrives at the system during that time period, or after T time units elapsed without a customer' arrival, the time instant when Nth customer arrives at the system or T time units elapsed with at least one customer arrives at the system whichever comes first. After deriving the necessary system characteristics including the expected number of customers in the system, the expected length of busy period and so on, the total expected cost function per unit time for the system operation is constructed to determine the optimal operating policy. To do so, the cost elements associated with such system characteristics including the customers' waiting cost in the system and the server's removal and activating cost are defined. Then, procedures to determine the optimal values of the decision variables included in the operating policy are provided based on minimizing the total expected cost function per unit time to operate the queueing system under considerations.

Preventive Maintenance Policy Following the Expiration of Extended Warranty Under Replacement-Repair Warranty (교체-수리보증 하에서 연장된 보증이 종료된 이후의 예방보전정책)

  • Jung, Ki Mun
    • Journal of Applied Reliability
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    • v.14 no.2
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    • pp.122-128
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    • 2014
  • In this paper, we consider the periodic preventive maintenance model for a repairable system following the expiration of extended warranty under replacement-repair warranty. Under the replacement-repair warranty, the failed system is replaced or minimally repaired by the manufacturer at no cost to the user. Also, under extended warranty, the failed system is minimally repaired by the manufacturer at no cost to the user during the original extended warranty period. As a criterion of the optimality, we utilize the expected cost rate per unit time during the life cycle from the user's perspective. And then we determine the optimal preventive maintenance period and the optimal preventive maintenance number by minimizing the expected cost rate per unit time. Finally, the optimal periodic preventive maintenance policy is given for Weibull distribution case.

Economic Constant Stress Plans for Accelerated Life Testing (가속수명시험을 위한 경제적 일정스트레스 계획의 개발)

  • Seo, Sun-Keun;Kim, Kap-Seok
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.4
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    • pp.517-526
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    • 1999
  • This paper deals with two economic optimal designs of constant-stress accelerated life test(ALT) where failure distribution follows one of location-scale family, i. e., exponential, Weibull, and lognormal distributions which have been ones of the popular choices of failure distributions. Two optimization criteria to develop ALT plans are the statistical efficiency per unit expected cost which consists of the fixed test cost, cost being proportional to the number of test units, and variable test cost depending on test period and stress level, and the expected loss which combines Taguchi's quadratic loss function and expected test cost. Optimum plan determines the low stress level, test units allocated to each stress, and censoring times at two stress levels under Type I censoring. The proposed ALT plans are illustrated with a numerical example and sensitivity analyses are conducted to study effects of pre-estimates of design parameters.

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A Study on Consumer Preference and Purchase Intention to Smart Phone : Focused on Perceived Cost and Expected Benefit (스마트폰에 대한 소비자선호도 및 구매의도에 관한 연구 : 지각된 비용과 기대혜택을 중심으로)

  • Han, Sung-Hee
    • Journal of Families and Better Life
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    • v.29 no.2
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    • pp.23-37
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    • 2011
  • This study examined the preference and the purchase intention of male and female from 20s through 405 to smart phones. This study verified the differences between the groups according to the socio-demographic factors, the usage pattern of mobile phone, and the perceived cost and the expected benefit. The analysis of the relative influence of those relevant factors was followed. The summaries of this study are as follows; First, the high level factors in purchasing smart phones were the perceived cost and the expected benefit pointed over 3.82. It means that they arc interested in smart phones highly, and if they can support to buy smart phones and situations can be permitted, they would like to buy them. Second, the differences between groups of the preference and the purchase intention were found according to the ages, the marital status and the education level. The results showed that those preference and the purchase intension were measured high at the group of the 20s-30s, the married, and the higher educational level of collage students. Third, expected benefit on smart phones was shown to be divided into two characterized factors through factor analysis. One was 'functional expected benefit' and the other was 'emotional expected benefit'. The functional and the emotional benefit on the using of smart phones were presented high level in group of over graduated students. Forth, the results of the stepwise multiple analysis, which was carried out to find out the influencing factors on the preference and the purchasing intension to smart phones, showed that the most effective factor was the functional expected benefit. The self-expressive propensity, and the education level were followed sequentially. The purchase intention was influenced by both of the functional and the emotional expected benefit. The result of this study shows that the level of the consumer's perceived cost(economic, psychological) and the expected benefit were measured high at the same time. That means that it is necessary to make the consumer information and communicating smoothly in order to lower the cost and enhance the benefit. In addition, This study has its meaning because it found out that functional expected benefit is a factor which has an influence on the Consumer Preference and Purchase Intention on Smart phone. If consumer's function requirements on smart phone are satisfied, it will be able to reduce the consumer problems and increase the consumer satisfaction. The result of this study would be applicable when Smart Phone is used as one of the auxiliary tools for smart consumption.

Optimal Burn-In under Waranty

  • Kim, Kui-Nam;Lee, Kwang-Ho
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.719-728
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected burn-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in prctice.

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Replacement Model Following the Expiration of Free RRNMW (무료 재생교체-비재생수리보증이 종료된 이후의 교체모형)

  • Jung, Ki-Mun
    • Communications for Statistical Applications and Methods
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    • v.18 no.6
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    • pp.697-705
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    • 2011
  • This paper proposes an optimal replacement policy following the expiration of a free renewing replacement-non-renewing minimal repair warranty. To do so, the free renewing replacement-non-renewing minimal repair warranty is defined and then the maintenance model following the expiration of free renewing replacement-non-renewing minimal repair warranty from the user's point of view is studied. As the criteria to determine the optimality of the maintenance policy, we consider the expected cost rate per unit time from the user's perspective. We derive the expressions for the expected cycle length and the expected total cost to obtain the expected cost rate per unit time. Finally, the numerical examples are presented for illustrative purposes.

Preventive maintenance model following the expiration of NFRRW (비재생무료교체-수리보증이 종료된 이후의 예방보전모형)

  • Jung, Ki-Mun
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.775-784
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    • 2011
  • In this paper, we consider the periodic preventive maintenance model for repairable system following the expiration of non-renewing free replacement-repair warranty (NFRRW). Under this preventive maintenance model, we derive the expressions for the expected cycle length, the expected total cost and the expected cost rate per unit time. Also, we determine the optimal preventive maintenance period and the optimal preventive maintenance number by minimizing the expected cost rate per unit time. Finally, the optimal periodic preventive maintenance policy is given for Weibull distribution case.

Preventive Maintenance Model after Minimal Repair Warranty (최소수리보증 이후의 예방보전모형)

  • Jung, Ki-Mun
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.865-877
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    • 2010
  • This paper considers the periodic preventive maintenance model for a repairable system following warranty expiration. We consider three types of warranty policies: free repair warranty, pro-rata repair warranty, and combination repair warranty. Under these preventive maintenance models, we derive the expressions for the expected cycle length, the total expected cost, and the expected cost rate per unit time. In addition, we explain the optimal preventive maintenance period and the optimal preventive maintenance number by minimizing the expected cost rate per unit time. Finally, the optimal periodic preventive maintenance policy is given for a Weibull distribution case.

Analysis of a Controllable M/G/1 Queueing Model Operating under the (TN) Policy ((TN) 운용방침이 적용되는 조정가능한 M/G/1 대기모형 분석)

  • Rhee, Hahn-Kyou
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.1
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    • pp.96-103
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    • 2014
  • A steady-state controllable M/G/1 queueing model operating under the (TN) policy is considered where the (TN) policy is defined as the next busy period will be initiated either after T time units elapsed from the end of the previous busy period if at least one customer arrives at the system during that time period, or the time instant when Nth customer arrives at the system after T time units elapsed without customers' arrivals during that time period. After deriving the necessary system characteristics such as the expected number of customers in the system, the expected length of busy period and so on, the total expected cost function per unit time in the system operation is constructed to determine the optimal operating policy. To do so, the cost elements associated with such system characteristics including the customers' waiting cost in the system and the server's removal and activating cost are defined. Then, the optimal values of the decision variables included in the operating policies are determined by minimizing the total expected cost function per unit time to operate the system under consideration.

Cost and reliability of retrofit alternatives for schools located on seismic zones

  • De Leon-Escobedo, David;Garcia-Manjarrez, Jose Luis
    • Earthquakes and Structures
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    • v.21 no.5
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    • pp.505-514
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    • 2021
  • A formulation based on structural reliability and cost effectiveness is proposed to provide recommendations to select the best retrofit strategy for schools with reinforced concrete frames and masonry walls, among three proposed alternatives. The cost calculation includes the retrofit cost and the expected costs of failure consequences. Also, the uncertainty of the seismic hazard is considered for each school site. The formulation identifies the potential failure modes, among shear and bending forces for beams, and flexure-compression forces for columns, for each school, and the seismic damages suffered by the schools after the earthquake of September 17, 2017 are taken into account to calibrate the damaged conditions per school. The school safety level is measured through its global failure probability, instead of only the local failure probability. The proposed retrofit alternatives are appraised in terms of the cost/benefit balance under future earthquakes, for the respective site seismic hazard, as opposed to the current practice of just restoring the structure original resistance. The best retrofit is the one that corresponds to the minimum value of the expected life cycle cost. The study, with further developments, may be used to develop general recommendations to retrofit schools located at seismic zones.