# continuous casting scheduling with constraint

### IBM Research Report

operations for steel making and continuous casting in the hot metal shop of a steel plant. The scope (2007) is capable of taking into account detailed scheduling constraints in a time granularity of even 30 seconds and preferences on di erent routes for the processing of an individual charge.

Get Price### Continuous Casting Scheduling with Constraint Programming

Continuous Casting Scheduling with Constraint Programming

Get Price### Scheduling Model for the Practical Steelmaking-continuous

However considering the requirement of casting continuously and the quality of molten steel in whole process the scheduling in SMCC is more complicated than that in common HFSP. Before modeling the critical step is to generalize the scheduling rules so as to identify the correct objectives and constraints.

Get Price### Production Scheduling of a Large-Scale Steelmaking

The scheduling of steelmaking continuous-casting (SCC) processes is of major importance in iron and steel operations since it is often a bottleneck in iron and steel production. Optimal scheduling of SCC processes can increase profit minimize production cost reduce material and energy consumption and improve customer satisfaction. Scheduling of SCC processes is challenging because of its

Get Price### RESCHEDULING OPTIMIZATION OF STEELMAKING

The scheduling of steelmaking-continuous casting (SCC) process is a hybrid ow job shop problem. There are three major processing stages which constraints such as machine capacity constraints or cast-break constraints by using Lagrangian multipliers 18 .

Get Price### An Efficient Augmented Lagrange Multiplier Method for

Apr 01 2021 · Constraint (6) is a continuous casting constraint stating that adjacent charges belonging to the same cast must be processed consecutively without any interruption at the last stage. 3.4. Integrality constraints and variable bounds (7) 0 ≤ C s j j ≤ H ∀ j ∈ J s j ∈ S j (8) x s j j t ∈ 0 1 ∀ j ∈ J s j ∈ S j t ∈ T. 3.5

Get Price### Xiaoqiang Gao Semantic Scholar

Energy-efficient steelmaking-continuous casting scheduling problem with temperature constraints and its solution using a multi-objective hybrid genetic algorithm with local search Zhaojun Xu Zhong Zheng Xiaoqiang Gao

Get Price### A novel hybrid algorithm for scheduling steel-making

Abstract In this paper steel-making continuous casting (SCC) scheduling problem (SCCSP) is investigated. This problem is a specific case of hybrid flow shop scheduling problem accompanied by

Get Price### Constraint-based approach for steelmaking-continuous

Steelmaking-continuous casting production scheduling is an NP-hard problem. In this paper a constraint-based approach is presented to solve steelmaking-continuous casting production scheduling problem in integrated steel production environment. We treat the steelmaking-continuous casting scheduling problem as a constraint satisfaction problem. The optimization objective is to

Get Price### A mixed-integer linear programming model for the

for scheduling steelmaking-continuous casting production. We ﬁrst review the recent works in continuous casting planning. We focus on a model inspired from an application of steelmaking-continuous casting by Arcelor Group in Liege Belgium. The process scheduling is characterized by several constraints job grouping technological

Get Price### Scheduling Model for the Practical Steelmaking-continuous

However considering the requirement of casting continuously and the quality of molten steel in whole process the scheduling in SMCC is more complicated than that in common HFSP. Before modeling the critical step is to generalize the scheduling rules so as to identify the correct objectives and constraints.

Get Price### Continuous Casting Scheduling with Constraint Programming

Contin- uous casting is preferred instead allowing higher throughput and better steel quality. This paper presents a CP model related to scheduling of op- erations for steel making with continuous casting. Activities considered range from the extraction of iron in the furnace to its casting in con- tinuous casters.

Get Price### Scheduling of steelmaking-continuous casting process using

Feb 01 2020 · Constraint (10) expresses that a enough setup time is considered between two adjacent casts for changing equipments on the same continuous casting machine. Constraints (11) (12) limit the value range of the decision variables.

Get Price### A flow shop with compatibility constraints in a

We present a scheduling methodology for applications where the generation of schedules is constrained by antagonistic and vague knowledge. Besides temporal and capacity constraints compatibility constraints between consecutive jobs are managed. We model the vague constraints and uncertain data by fuzzy set theory. The importance of single jobs and and the difficulty to schedule them is

Get Price### Production scheduling in a steelmaking-continuous casting

The steel-making continuous casting scheduling problem holds more constraints than flow shop in no-idle machine constraint multiple buffers and batch scheduling resulting in strong NP-hardness.

Get Price### (PDF) A novel hybrid algorithm for scheduling steel-making

Ferretti et al. 8 presented the algorithmic solution based cal constraints and its more complex scheduling criteria. Gupta 1 on ant system metaheuristic for an industrial production inventory demonstrated that the two-stage HFS scheduling problem with the problem in a steel continuous casting

Get Price### Energy-efficient steelmaking-continuous casting scheduling

Oct 01 2020 · Optimizing the steelmaking and continuous casting production scheduling with temperature constraints on the basis of existing equipment and process technology is conducive to the stable and efficient operation of production which will lead to energy-efficient steel manufacturing.

Get Price### (PDF) A mathematical programming model for scheduling

Steel Works. The Geneva system is a state-of-the- making scheduling problems and then combined art application program that schedules a continu- rule-based expert system and genetic algorithm to ous caster while considering business constraints produce ecient schedules.

Get Price### A GRASP heuristic for slab scheduling at continuous

The scheduling approach incorporates specific constraints such as flexible production orders material supply in batches and different setup types. We further introduce a continually adjustable casting width which corresponds to a technological control parameter.

Get Price### Constraint-Based Approach for Steelmaking–Continuous

Jun 26 2007 · Steelmaking-continuous casting rescheduling problem is an NP-hard problem. In this paper we present a constraint-based approach for steelmaking–continuous casting rescheduling problem in integrated steel production environment. We treat the steelmaking–continuous casting rescheduling problem as a dynamic constraint satisfaction problem.

Get Price### Constraint-based approach for steelmaking-continuous

Steelmaking-continuous casting production scheduling is an NP-hard problem. In this paper a constraint-based approach is presented to solve steelmaking-continuous casting production scheduling problem in integrated steel production environment. We treat the steelmaking-continuous casting scheduling problem as a constraint satisfaction problem. The optimization objective is to

Get Price### Continuous Casting Scheduling with Constraint Programming

Continuous Casting Scheduling with Constraint Programming . By Steven Gay Pierre Schaus and Vivian De Smedt. Cite . BibTex Full citation Publisher Springer International Publishing. Year 2014. DOI identifier 10.1007/_59. OAI identifier Provided by MUCC

Get Price### Scheduling Model for the Practical Steelmaking-continuous

the scheduling rules so as to identify the correct objectives and constraints. The detailed scheduling rules in SMCC are listed as follows (1) Heats in a cast must be casted continuously in the same CCM and the upper bound of heat number in a cast can t exceed the lifetime of tundish (2) Since the strict demand on temperature and chemi-

Get Price### Integrated batch planningIJSIMM

the scheduling and then the push strategy to coordinate 14-17 . Li et al. 6 proposed a unit-specific event for the steelmaking continuous casting scheduling process and Lin et al. 18 proposed a continuous optimal approach for the mid-size steelmaking continuous casting problem.

Get Price### (PDF) Scheduling continuous aluminium casting lines

Then the casting-scheduling problem with sequence-dependent setups and load-balancing constraints (CSP-SDS-LBC) can be formulated as min Ctotal X ð1Þ Ctotal ¼ Ck k2K n X XX Ck ¼ yik pik þ xijk sijk k2K ð2Þ i¼1 i2Jk j2jk Downloaded By Yildirim mehmet At 18 04 22 September 2008 1 Ck Ctotal ð1 þ Þ k 2 K ð3Þ jKj 1 Ck Ctotal ð1

Get Price### An Efficient Augmented Lagrange Multiplier Method for

Apr 01 2021 · Constraint (6) is a continuous casting constraint stating that adjacent charges belonging to the same cast must be processed consecutively without any interruption at the last stage. 3.4. Integrality constraints and variable bounds (7) 0 ≤ C s j j ≤ H ∀ j ∈ J s j ∈ S j (8) x s j j t ∈ 0 1 ∀ j ∈ J s j ∈ S j t ∈ T. 3.5

Get Price### A scheduling system for the steelmaking—Continuous casting

The heuristic algorithm consists of three planning levels (1) scheduling the continuous casters considering the capacity restrictions at the upstream stages and the limited availability of hot

Get Price### Scheduling Model for the Practical Steelmaking-continuous

the scheduling rules so as to identify the correct objectives and constraints. The detailed scheduling rules in SMCC are listed as follows (1) Heats in a cast must be casted continuously in the same CCM and the upper bound of heat number in a cast can t exceed the lifetime of tundish (2) Since the strict demand on temperature and chemi-

Get Price### Continuous Casting Scheduling with Constraint Programming

Continuous Casting Scheduling with Constraint Programming . By Steven Gay Pierre Schaus and Vivian De Smedt. Abstract. Abstract. Although the Steel Mill Slab problem (prob 38 of CSPLib) has already been studied by the CP community this approach is unfor-tunately not used anymore by steel producers since last century. Contin-uous casting is

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