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This paper introduces a bulk queucing system with a single server processing groups of customers of a variable size. If upon completion of service the queueing level is at least r the server takes a batch of size r and processes it a random time arbitrarily distributed. If the qucueing level is less than r the server idles until the queue accumulates r… (More)

This paper is concerned with the development of a production inventory model for both ameliorating and deteriorating items. Given an inventory goal level and a production goal rate set by the production facility, and given penalties for the inventory level and for the production rate to deviate from their respective targets, a system total cost objective… (More)

This paper is concerned with the optimal control of a production inventory system with deteriorating items. It is assumed that the deterioration rate follows the two-parameter Weibull distribution. The continuous-review and periodic-review policies are investigated. In each case, optimality conditions are derived. Also, numerical illustrative examples are… (More)

- Lotfi Tadj, Gautam Choudhury
- Appl. Math. Lett.
- 2009

We aim in this paper at designing an optimal management policy for a bulk service queueing system with random set-up time under Bernoulli vacation schedule and N-policy. We first study the discrete time parameter and continuous time parameter stochastic processes and derive all the quantities required to build a linear cost structure. Then an algorithm is… (More)

- Gautam Choudhury, Jau-Chuan Ke, Lotfi Tadj
- J. Computational Applied Mathematics
- 2009

- Gautam Choudhury, Lotfi Tadj, Kandarpa Deka
- Computers & Mathematics with Applications
- 2010

- Lotfi Tadj, Messaoud Bounkhel, Y. Benhadid
- Int. J. Systems Science
- 2006

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This paper deals with a parametric multi-period integer-valued inventory model for perishable items. Each item in the stock perishes in a given period of time with some probability. Demands are assumed to be random. and the probability that an item perishes is not known with certainty. Expressions for various parameter estimates of the model are established… (More)

- Lotfi Tadj, Jau-Chuan Ke
- Math. Meth. of OR
- 2003

This paper is concerned with the optimal control of a bulk service queueing system under N-policy. If the number of customers in the system at a service completion is larger than some integer r, then the server starts processing a group of r customers. If, on the other hand, it is smaller than r, then the server goes through an idle period and waits for the… (More)