(a) At any scheduled call of a calendar or at any conference, if all parties do not appear and proceed or announce their readiness to proceed immediately or subject to the engagement of counsel, the judge may note the default on the record and enter an order as follows:

(b) An action stricken from the trial calendar and not restored within one year thereafter shall be deemed abandoned and shall be dismissed by the clerk, without costs, for neglect to prosecute.

(c) Actions stricken from the trial calendar may be restored to the calendar only upon stipulation of all parties so ordered by the court or by motion on notice to all parties made within one year after the action is stricken. Such motion must be supported by affidavit by a person having firsthand knowledge, satisfactorily explaining the reasons for the action having been stricken and showing that it is presently ready for trial.