A Sustainable Economic Recycle Quantity Model for Imperfect Production System with Shortages

Abstract

Recycling of products has a great impact on contemporary sustainable business strategies. In this study, a sustainable recycling process in a production-inventory model for an imperfect production system with a fixed ratio of recyclable defective products is introduced. The piecewise constant demand rates of the non-defective items are considered under production run-time, production off-time with positive stock, and production off-time with shortages under varying conditions. Based on the production process, two cases are studied using this model. The first case does not consider recycling processes, while the second case picks up all defective items before sending these items to recycling during the production off-time; the recycled items are added to the main inventory. The aim of this study is to minimize the total cost and identify the optimal order quantity. The manufacturing process with the recycling process provides a better result compared to without recycling in the first case. Some theoretical derivations are developed to enunciate the objective function using the classical optimization technique. To validate the proposed study, sensitivity analysis is performed, and numerical examples are given. Finally, some managerial insights and the scope of future research are provided.

Optimal replenishment policy for non‐instantaneous deteriorating items with stochastic demand under advance sales discount and available capacity

“…Consequently, q * can be obtained by solving (32). Combining this result with Theorems 1 and 2, we propose the following algorithm for solving the problem.…”

“…For further research, this paper can be extended to consider other realistic situations such as a finite rate of replenishment, quantity discounts, and the trade credit in a two-warehouse environment. In order to further motivate the interested readers, we choose to cite a number of other related recent works on the subject matter of this article such as those by AlArjani et al, 32 Chung et al, [33][34][35][36] Hou et al, 37 Liao et al, [38][39][40][41] Srivastava et al, [42][43][44] and many other authors (see, e.g., Wu et al 45 ).…”

“…(i) if Φ(q) ≧ 0, find the optimal (t w * , T * ) using ( 23) and (24). Substituting (t w * , T * ) into (32) and solve this equation to obtain q 𝑗+1 ; go to Step 3. (ii) if Φ(q) < 0, then t w * = t d ,…”

Green Product Pricing and Purchasing Strategies in a Two‐Period Supply Chain considering Altruistic Preferences

“…As supply chains are characterized by complexity and vulnerability, members usually implement a variety of strategies to enhance the stability and sustainability of systems [22,23]. Inventory is an essential means to maintain supply chain stability and resist sudden risks.…”

Inventory Models for Non-Instantaneous Deteriorating Items with Expiration Dates and Imperfect Quality under Hybrid Payment Policy in the Three-Level Supply Chain

“…Wu et al [13] examined an inventory model with expiration date dependent deterioration under an advance-cash-credit payment scheme to find the optimal replenishment cycle time and the fraction of no shortages such that the total profit is maximized. Moreover, some related recent articles are those by, for example, Zia and Taleizadeh [14], Wu et al [15], Chen et al [16], Teng et al [17], Diabat et al [18], Feng et al [19], Mahata and De [20], Tiwari et al [21], Taleizadeh et al [22], Li et al [23,24], Taleizadeh [25], Krommyda et al [26], Tsao et al [27], Mashud et al ([28,29]), AlArjani et al [30], and Hou et al [31].…”