Optimal Control of Service Parameter for a Perishable Inventory System with Service Facility, Postponed Demands and Finite Waiting Hall_

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題名：	Optimal Control of Service Parameter for a Perishable Inventory System with Service Facility, Postponed Demands and Finite Waiting Hall
書刊名：	International Journal of Information and Management Sciences
作者：	Jenifer, J. Sebastian Arockia／Sangeetha, N.／Sivakumar, B.
出版日期：	2014
卷期：	25:4
頁次：	頁349-370+a8
主題關鍵詞：	服務之控制；推遲需求；有限壽命；有限緩衝；Control of service rates；Postponed demands；Finite life time；Finite buffer
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:1 共同引用:0 點閱:2

This paper deals with the problem of optimally control service rates for a continuous review (s, S) inventory system with a service facility consisting of finite buffer (waiting hall) and a single server. The customers arrive according to a Poisson process. The customer’s demand is satisfied after an exponential service time. An arriving customer, who finds the buffer is full, enters into the pool of finite size or leaves the system according to a Bernoulli trial. The replenishment time of the order is distributed as exponential. The life time of each item in the inventory is assumed to be exponential distribution. Here we determine the service rates to be employed at each instant of time so that the long-run total expected cost rate is minimized. The problem is modeled as a semi-Markov decision problem. The stationary optimal policy is computed using linear programming algorithm and the results are illustrated numerically.

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期刊論文
1.	Berman, O.、Sapna, K. P.(2001)。Optimal control of service for facilities holding inventory。Computers and Operations Research，28(5)，429-441。
2.	Yadavalli, V. S. S.、Sivakumar, B.、Arivarignan, G.、Adetunji, O.(2011)。A multi-server perishable inventory system with negative customer。Computers and Industrial Engineering，61(2)，254-273。
3.	Al-Hamadi, H. M.、Sangeetha, N.、Sivakumar, B.(2014)。Optimal control of service parameter for a perishable inventory system maintained at service facility with impatient customers。Annals of Operations Research，216。
4.	Berman, O.、Kaplan, E. H.、Shimshak, D. G.(1993)。Deterministic approximations for inventory management at service facilities。IIE Transactions，25(5)，98-104。
5.	Berman, O.、Kim, E.(1999)。Stochastic inventory policies for inventory management of service facilities. Stochastic models。Stochastic Models，15，695-718。
6.	Berman, O.、Sapna, K. P.(2002)。Optimal service rates of a service facility with perishable inventtory items。Naval Research Logistics，49，464-482。
7.	Bijvank, M.、Vis, I. F. A.(2011)。Lost-sales inventory theory: A review。European Journal of Operational Research，215，1-13。
8.	Jenifer, J. S. A.、Sivakumar, B.(2014)。A comparative study of the inventory system with service facility and postponed demands。Journal of System Science and System Engineering，23(2)，176-195。
9.	Krishnamoorthy, A.、Islam, M. E.(2004)。(s, S) inventory system with postponed demands。Stochastic Analysis and Applications，22(3)，827-842。
10.	Krishnamoorthy, A.、Lakshmy, B.、Manikandan, R.(2011)。A survey on inventory models with positive service time。OPSEARCH，48(2)，153-169。
11.	Manuel, Paul、Sivakumar, B.、Arivarignan, G.(2007)。Perishable inventory system with postponed demands and negative customers。Journal of Applied Mathematics and Decision Sciences，2007，1-12。
12.	Schwarz, M.、Sauer, C.、Daduna, H.、Kulik, R.、Szekli, R.(2006)。M/M/1 queueing systems with inventory。Queueing Systems，54，55-78。
13.	Shah, N. H.、Shah, Y. K.(2000)。Literature survey on inventory models for deteriorating items。Ekonomskianali，44，221-237。
14.	Sivakumar, B.、Arivarignan, G.(2008)。An inventory system with postponed demands。Stochastic Analysis and Applications，26(1)，84-97。
15.	Sivakumar, B.、Arivarignan, G.(2009)。A stochastic inventory system with postponed demands。Performance Evaluation，66，47-58。
16.	Nahmias, S.(1982)。Perishable Inventory Theory: A Review。Operations Research，30(4)，680-708。
17.	Raafat, F.(1991)。Survey of literature on continuously deteriorating inventory models。The Journal of the Operational Research Society，42，27-37。
18.	Goyal, S. K.、Giri, B. C.(2001)。Recent trends in modeling of deteriorating inventory。European Journal of Operational Research，134(1)，1-16。

圖書
1.	Mine, H.、Osaki, S.(1970)。Markovian Decision Processes。New York：American Elsevier Publishing Company, Inc.。

圖書論文
1.	Arivarignan, G.、Yadavalli, V. S. S.、Sivakumar, B.(2008)。A perishable inventory system with multi-server service facility and retrial customers。Management Science and Practice。New Delhi：Allied Publishers, Ltd。
2.	He, Q. -M.、Jewkes, E. M.、Buzacott, J.(1998)。An efficient algorithm for computing the optimal replenishment policy for an inventory-production system。Advances in Matrix Analytic Methods for Stochastic Models。New Jersey：Notable Publications。

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