Many authors have examined lot sizing, scheduling and sequence of multi-product flow shops, but most of them have assumed that set up times are independent of sequence. Whereas dependence of set up times to sequence is more common in practice. Hence, in this paper, we examine the discussed problem with hypothesis of dependence of set up times to sequence and cyclic schedule policy in basic peri...

In this research we develop mathematical models of Joint Economic Lot-sizing Problem (JELP) in a situation when a supplier offers time-based temporary price discounts to a buyer during a sale period. To respond this, the buyer places a special order with higher quantity. In literature, it has been assumed that the buyer tends to place the special order at the end of the sale period. We relax th...

This paper proposes an inverse lot-sizing model for eliciting the cost parameters (the setup, holding, and backlog costs) of a supplier from earlier demand vs. optimal lot-size pairs. It is assumed that the supplier solves a single-item, multi-period, uncapacitated lot-sizing problem with backlogs to optimality to calculate its lot-sizes, and the buyer is aware of this fact. The inverse optimiz...

In this paper, two economic production quantity (EPQ) models are proposed for deteriorating/imperfect items with rework process. The production process is imperfect, and imperfect quality items are reworked to become serviceable. At the same time, the remaining good quality items may deteriorate. The inspection of deteriorated items is also imperfect, so that deteriorated items may be sold to c...

 Imperfect production processes lead to imperfect products and decrease the profit of a business. Improvement in the production process by increasing the investment cost will decrease the defective percentage of items. This study develops an EPQ model with investments on imperfect production processes under limited capital. An algorithm is developed to derive the replenishment and investment p...

In the present paper, we discuss one of the many processes arising in the context of supply chain management, namely production planning. We focus on one type of production planning models called capacitated lot sizing models. These models appear to be well suited for the usually rather in exible production resources found in the process industries. We review the literature on single-level sing...

We study a problem of lot-sizing and sequencing several discrete products on a single machine. A sequence dependent setup time is required between the lots of different products. The machine is imperfect in the sense that it can produce defective items, and furthermore, it can break down. The number of the defective items of each product is given as an integer valued non-decreasing function of ...

Article history: Received October 2 2012 Received in revised format November 2 2012 Accepted November 2 2012 Available online 6 November 2012 This study develops an integrated production inventory model from the perspectives of vendor, supplier and buyer. The demand rate is time dependent for the vendor and supplier and buyer assumes the stock dependent demand rate. As per the demand, supplier ...