This paper studies a combinatorial optimization problem which is obtained by combining the two-machine flow shop scheduling problem and the shortest path problem. The objective of the obtained problem is to select a subset of jobs constitutes a feasible solution to the shortest path problem, and to execute the selected jobs on two-machine flow shop to minimize the makespan. We argue that this p...

scheduling is an important subject of production and operations management area. in flow-shop scheduling, the objective is to obtain a sequence of jobs which when processed in a fixed order of machines, will optimize some well defined criteria. the concept of transportation time is very important in scheduling. transportation can be done by robots. in situations that robots are used to transpor...

In this paper, we present an approach to deal with fuzzy constraints in a flow shop problem. The flexible constraints on job release date and due date, as well as job processing time are described by fuzzy sets. We propose a method to calculate the satisfaction degree of the schedule with respect to fuzzy release dates and fuzzy due dates of jobs. The objective is to obtain a schedule which has...

This paper deals with multi-operation models, which are different from the flow shop and job shop models. In the flow shop or job shop models, the routes of all jobs are known in advance. In practice, the route of the job is often immaterial and up to the scheduler to decide. When the routes of the jobs are open, the model is referred to as an open shop. This paper describes the development of ...

We study an inverse counterpart of the two machine flow-shop scheduling problem that arises in the context of inverse optimization. While in the forward scheduling problem all parameters are given and the objective is to find job sequence(s) for which the value of the makespan is minimum, in the inverse scheduling the exact values of processing times are unknown and they should be selected with...

A three stage production system is considered in this paper. There are two stages to fabricate and ready the parts and an assembly stage to assembly the parts and complete the products in this system. Suppose that a number of products of different kinds are ordered. Each product is assembled with a set of several parts. At first the parts are produced in the first stage with parallel machines a...

In this paper an ant colony optimization algorithm is developed to solve the permutation flow shop scheduling problem. In the permutation flow shop scheduling problem which has been vastly studied in the literature, there are a set of machines and a set of jobs. All the jobs are processed on all the machines and the sequence of jobs being processed is the same on all the machines. Here this pro...

In a distributed system or communication network tasks may need to be executed on more than one processor. For time-critical tasks, the timing constraints are typically given as end-to-end release-times and deadlines. This paper describes algorithms to schedule a class of systems where all the tasks execute on different processors in turn in the same order. This end-to-end scheduling problem is...

This paper deals with performance evaluation and scheduling problems in m machine stochastic flow shop with unlimited buffers. The processing time of each job on each machine is a random variable exponentially distributed with a known rate. We consider permutation flow shop. The objective is to find a job schedule which minimizes the expected makespan. A classification of works about stochastic...

Flow shop scheduling problem has a wide application in the manufacturing and has attracted much attention in academic fields. From other point, on time delivery of products and services is a major necessity of companies’ todays; early and tardy delivery times will result additional cost such as holding or penalty costs.  In this paper, just-in-time (JIT) flow shop scheduling problem with preemp...