cloud computing is the latest technology that involves distributed computation over the internet. it meets the needs of users through sharing resources and using virtual technology. the workflow user applications refer to a set of tasks to be processed within the cloud environment. scheduling algorithms have a lot to do with the efficiency of cloud computing environments through selection of su...

1.1 The background on the ELSP The Economic Lot Scheduling Problem (ELSP) is concerned with scheduling the cyclical production of n≥2 products on a single facility in lots that differ in size and, consequently, differ in production times and cycles. The cost items involved are: setup cost and inventory holding cost. A popular category of research for the ELSP is so-called “basic period-based cy...

Economies of scale often dictate the choice of a single high speed machine capable of producing a given set of items over the choice of one dedicated machine for each item in the set. A scheduling problem arises when the high speed machine can only produce one item at a time. The problem is further complicated when the machine needs to be setup (often at a cost of both time and money) before a ...

In this paper, a new mathematical model for the problem of job scheduling in virtual manufacturing cells (VMC) is presented to minimizing the completion time of all jobs. Sequence dependent setup times of machines is considered and lot-streaming is possible. In Virtual manufacturing cells, each job has a different processing path and there is a set of machines for processing each operation. The...

Lot sizing and scheduling in flow shop has been considered in this paper. Our study includes a multi-level and multi-period capacitated lot sizing and scheduling problem (CLSP) with sequence-dependent setups, setups carry over in flow shop. In manufacturing environments backlogging is unavoidable. If the production capacity is infinite, any demand can be satisfied

We consider mixed-integer linear programming (MIP) models of production planning problems known as the small bucket lot-sizing and scheduling problems. We present an application of a class of valid inequalities to the case with lost demand (stock-out) costs. Presented results of numerical experiments made for the the Proportional Lot-sizing and Scheduling Problem (PLSP) confirm benefits of such...